513707 has 4 divisors (see below), whose sum is σ = 518616. Its totient is φ = 508800.

The previous prime is 513697. The next prime is 513719. The reversal of 513707 is 707315.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 513707 - 2⁴ = 513691 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2294 + ... + 2507.

It is an arithmetic number, because the mean of its divisors is an integer number (129654).

2⁵¹³⁷⁰⁷ is an apocalyptic number.

513707 is a deficient number, since it is larger than the sum of its proper divisors (4909).

513707 is a wasteful number, since it uses less digits than its factorization.

513707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 513707 is about 716.7335627693. The cubic root of 513707 is about 80.0888076286.

The spelling of 513707 in words is "five hundred thirteen thousand, seven hundred seven".